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Simplifying 81y2 + 126y + 49 = 0 Reorder the terms: 49 + 126y + 81y2 = 0 Solving 49 + 126y + 81y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + 9y)(7 + 9y) = 0Subproblem 1
Set the factor '(7 + 9y)' equal to zero and attempt to solve: Simplifying 7 + 9y = 0 Solving 7 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9y = 0 + -7 9y = 0 + -7 Combine like terms: 0 + -7 = -7 9y = -7 Divide each side by '9'. y = -0.7777777778 Simplifying y = -0.7777777778Subproblem 2
Set the factor '(7 + 9y)' equal to zero and attempt to solve: Simplifying 7 + 9y = 0 Solving 7 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9y = 0 + -7 9y = 0 + -7 Combine like terms: 0 + -7 = -7 9y = -7 Divide each side by '9'. y = -0.7777777778 Simplifying y = -0.7777777778Solution
y = {-0.7777777778, -0.7777777778}
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